GCD of 916, 701, 637, 972 Calculator

Given Input numbers are 916, 701, 637, 972

In the factoring method, we have to find the divisors of all numbers

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 701 :

The positive integer divisors of 701 that completely divides 701 are.

1, 701

Divisors of 637 :

The positive integer divisors of 637 that completely divides 637 are.

1, 7, 13, 49, 91, 637

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (916, 701, 637, 972) = 1.

Given numbers are 916, 701, 637, 972

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 701 are 701

Prime factors of 637 are 7 x 7 x 13

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 916, 701, 637, 972

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(916, 701) = 642116

GCD(916, 701) = ( 916 x 701 ) / 642116

= 916 / 701

= 916

Step2:

LCM(1, 637) = 637

GCD(1, 637) = ( 1 x 637 ) / 637

= 1 / 637

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 916, 701, 637, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 213, 765, 522, 441
• GCD of 634, 124, 236, 623
• GCD of 465, 500, 504, 329
• GCD of 309, 856, 117, 487
• GCD of 921, 760, 394, 546

Given numbers are 916, 701, 637, 972
The greatest common divisor of numbers 916, 701, 637, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 701, 637, 972 is 1.

1. What is the GCD of 916, 701, 637, 972?

GCD of given numbers 916, 701, 637, 972 is 1

2. How to calculate the greatest common divisor of 916, 701, 637, 972?

We can find the highest common divisor of 916, 701, 637, 972 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 916, 701, 637, 972 i.e 1.

3. How can I use the GCD of 916, 701, 637, 972Calculator?

Out the numbers 916, 701, 637, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.